The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 0 1 1 3 3 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 15 12 9 3 18 3 21 9 21 24 3 3 24 3 0 21 21 21 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 9 9 18 0 9 0 9 0 18 9 0 18 18 9 18 9 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 9 9 18 0 0 9 0 18 18 9 18 9 9 18 18 9 18 9 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 18 0 9 18 0 18 9 18 18 0 9 0 18 9 0 0 18 18 generates a code of length 38 over Z27 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+284x^69+54x^70+450x^72+324x^73+972x^74+438x^75+648x^76+1944x^77+526x^78+432x^79+322x^81+102x^84+46x^87+8x^90+8x^96+2x^99 The gray image is a code over GF(3) with n=342, k=8 and d=207. This code was found by Heurico 1.16 in 10.6 seconds.